Use the given information to find the exact value of each of the following.   a.  sine 2 thetasin2θ                                         b.   cosine 2 thetacos2θ                                c.  tangent 2 thetatan2θ   sine theta equals seven fifteenths commasinθ=715, thetaθ lies in quadrant II       Question content area bottom Part 1 a.   sine 2 thetasin2θ ​= enter your response here   ​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all​ denominators.) Part 2 b.   cosine 2 thetacos2θ ​= enter your response here   ​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all​ denominators.) Part 3 c.   tangent 2 thetatan2θ ​= enter your response here   ​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all​ denominators.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter7: Analytic Trigonometry
Section7.2: Addition And Subtraction Formulas
Problem 1E: If we know the values of the sine and cosine of x and y, we can find the value of sin(x+y) by using...
Question
Use the given information to find the exact value of each of the following.
 
a.  sine 2 thetasin2θ                                         b.  
cosine 2 thetacos2θ  
                             c.  tangent 2 thetatan2θ
 
sine theta equals seven fifteenths commasinθ=715,
thetaθ
lies in quadrant II
 
 
 

Question content area bottom

Part 1
a.  
sine 2 thetasin2θ
​=
enter your response here  
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all​ denominators.)
Part 2
b.  
cosine 2 thetacos2θ
​=
enter your response here  
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all​ denominators.)
Part 3
c.  
tangent 2 thetatan2θ
​=
enter your response here  
​(Simplify your answer. Type an exact​ answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize all​ denominators.)
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